MonographDOI
Mathematical Models in Biology
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TLDR
The theory of linear difference equations applied to population growth and the applications of nonlinear difference equations to population biology are explained.Abstract:
Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5. Phase-plane methods and qualitative solutions 6. Applications of continuous models to population dynamics 7. Models for molecular events 8. Limit cycles, oscillations, and excitable systems Part III. Spatially Distributed Systems and Partial Differential Equation Models: 9. An introduction to partial differential equations and diffusion in biological settings 10. Partial differential equation models in biology 11. Models for development and pattern formation in biological systems Selected answers Author index Subject index.read more
Citations
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Journal ArticleDOI
Toward an integrated workforce planning framework using structured equations
TL;DR: In this article, the first stones to a simple yet robust quantitative framework for Strategic Workforce Planning exercises are set, which is then used to answer two main workforce related questions: how to optimally hire to keep labor costs flat? How to build an experience constrained workforce at a minimal cost?
Journal ArticleDOI
From wheel of fortune to wheel of misfortune: Financial crises, cycles, and consumer predation
TL;DR: In this article, a stylized framework of a market cycle that combines the notions of supply and demand and predator-prey interactions between buyers and sellers of housing mortgages is presented.
Book ChapterDOI
Ordinary Differential Equations
TL;DR: Differential equations represent a centrally important ecological modelling approach as mentioned in this paper, originally developed to describe quantitative changes of one or more variables in physics, the approach was imported to model ecological processes, in particular population dynamic phenomena.
Journal ArticleDOI
Periodic Fox production harvesting models with delay
Leonid Berezansky,Lev Idels +1 more
TL;DR: It was found that oscillations in the intrinsic rate r( t) and the environmental carrying capacity K(t) contributed quantitatively and qualitatively to the system’s dynamics in significant ways, and cannot be neglected in mathematical models of biological systems.
Proceedings Article
Qualitative behavior of SIS epidemic model on time scales
TL;DR: In this paper, a time scales version of simple epidemic model (SIS) is constructed and the authors explore the variety of its qualitative behavior for each parameter value, the theory of time scales allows the discovery of similar and dissimilar behavior of SIS epidemic models on different time scales.